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Finding the Third Proportional to 305,388.28 and 658,110.09

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Solution

The third proportional to 305,388.28 and 658,110.09 is: 1,418,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,388.28 : 658,110.09 = 658,110.09 : x
  2. Step 2: Convert to fraction form
    305,388.28/658,110.09 = 658,110.09/x
  3. Step 3: Cross multiply
    305,388.28x = 658,110.09 × 658,110.09
  4. Step 4: Simplify right side
    305,388.28x = 433,108,895,495.63
  5. Step 5: Solve for x
    x = 433,108,895,495.63/305,388.28
  6. Step 6: Final answer
    x = 1,418,223.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.